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Course Syllabus Color Camera models, camera calibration Advanced image pre-processing

Course Syllabus Color Camera models, camera calibration Advanced image pre-processing Line detection Corner detection Maximally stable extremal regions Mathematical Morphology binary gray-scale skeletonization granulometry morphological segmentation Scale in image processing

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Course Syllabus Color Camera models, camera calibration Advanced image pre-processing

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  1. Course Syllabus • Color • Camera models, camera calibration • Advanced image pre-processing • Line detection • Corner detection • Maximally stable extremal regions • Mathematical Morphology • binary • gray-scale • skeletonization • granulometry • morphological segmentation • Scale in image processing • Wavelet theory in image processing • Image Compression • Texture • Image Registration • rigid • non-rigid • RANSAC

  2. Homotopy • Homotopic tree in 2D • Challenges in 3D • Sketonization and maximal ball • Maximal balls • Skeleton • Basis relation between maximal ball and skeleton • Mathematical formulation • Challenges • Morphological solution to homotopic skeletonization • Role of his and miss • Thinning, Thickening, and Duality • Iterative thinning: structuring element • Distance transform and thinning • Axial line detection using DT • Simple point • Thinning Algorithm

  3. Quiz Object = black original ? ?

  4. 13.5 Skeletons and object marking • 13.5.1 Homotopictransformations • transformation is homotopic if it does not change the continuity relation between regions and holes in the image. • this relation is expressed by homotopic tree • its root ... image background • first-level branches ... objects (regions) • second-level branches ... holes • etc. • transformation is homotopic if it does not change homotopic tree

  5. HomotopicTree

  6. HomotopicTree

  7. HomotopicTree r1 r2 h2 h1 b r1 r2 h2 h1

  8. Quitz: Homotopic Transformation • What is the relation between an element in the ith and i+1th levels?

  9. More challenges in 3D • Lot more challenges in 3D • Homotopic tree is not feasible

  10. Sequential thinning by structuring element L • thinning by L serves as homotopic substitute of the skeleton; • final thinned image consists only of lines of width one and isolated points • structuring element L from the Golay alphabet is given by • (The other six elements are given by rotation). Original after 5 iteration final result

  11. Sequential thinning by structuring element E • • structuring element E from the Golay alphabet is given by • Less jagged skeletons Original skeleton

  12. Axial line detection using Distance transform

  13. Axial line detection using Distance transform

  14. Axial line detection using Distance transform

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